Vektor Kendali Permainan Dinamis LQ Non-Kooperatif Waktu Tak Berhingga

Nilwan Andiraja

Abstract


In this paper discuss about control vector with Nash criterion in linier quadratic non-cooperative
dynamic game two player case with infinite time. Discuss was started from general equations for noncooperative dynamic game N player for infinite time with several assumption. Then, with same assumption
to made general equation for non-cooperative dynamic game two player for infinite time. Based on
differential equation and objective function for each player algebraic Riccati equation was formed for first
player and second player, to made control vector with Nash criterion. Finally, control vector with Nash for
first player and second player used to analysis about stability of dynamic function.
Keywords: game, linear, quadratic, non-cooperative, control


Full Text:

PDF

References


Jurnal:

Engwerda J. Feedback Nash equilibria in the scalar infinite horizon LQ-game. Automatica. 2000; 36

: 135-139.

Weeren AJTM, Schumacher JM, Engwerda J. Asymptotic analysis of linear feedback Nash

equilibria in nonzero-sum linear-quadratic differential games. Journal of Optimization Theory and

Applications.1999: 101: p693–723.

Texbooks:

. Basar T. Dynamic noncooperative game theory. Philadelphia: SIAM. 1999.

Bellman R. Introduction to Matrix Analysis. Philadelphia: SIAM. 1997

Engwerda J. LQ Dynamic Optimization and Differential Games. Chichester: John Wiley & Sons.

Lewis FL. Applied Optimal Control and Estimation. New Jersey: Prentice-Hall, Inc. 1992.

Olsder GJ. Mathematical System Theory. Delft: University of Technology. 1994.

Perko L. Differential Equations and Dynamical System. New York: Springer-Verlag. 1991.


Refbacks

  • There are currently no refbacks.


FAKULTAS SAINS DAN TEKNOLOGI
UIN SUSKA RIAU
Kampus Raja Ali Haji
Gedung Fakultas Sains & Teknologi UIN Suska Riau
Jl.H.R.Soebrantas No.155 KM 18 Simpang Baru Panam, Pekanbaru 28293
Email: sntiki@uin-suska.ac.id